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30333230100 = 22325273461693
BaseRepresentation
bin11100010000000000…
…000101110000010100
32220021222022202010200
4130100000011300110
5444110301330400
621533534220500
72122454126115
oct342000056024
986258282120
1030333230100
1111956354808
125a66654730
132b25429184
14167a7cc20c
15bc7eedb00
hex710005c14

30333230100 has 108 divisors (see below), whose sum is σ = 96380469276. Its totient is φ = 7978037760.

The previous prime is 30333230099. The next prime is 30333230117. The reversal of 30333230100 is 103233303.

30333230100 is a `hidden beast` number, since 3 + 0 + 333 + 230 + 100 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1188594576 + 29144635524 = 34476^2 + 170718^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 165147 + ... + 296546.

Almost surely, 230333230100 is an apocalyptic number.

30333230100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30333230100 is an abundant number, since it is smaller than the sum of its proper divisors (66047239176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30333230100 is a wasteful number, since it uses less digits than its factorization.

30333230100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461786 (or 461776 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 30333230100 its reverse (103233303), we get a palindrome (30436463403).

The spelling of 30333230100 in words is "thirty billion, three hundred thirty-three million, two hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 73 75 90 100 146 150 180 219 225 292 300 365 438 450 657 730 876 900 1095 1314 1460 1825 2190 2628 3285 3650 4380 5475 6570 7300 10950 13140 16425 21900 32850 65700 461693 923386 1385079 1846772 2308465 2770158 4155237 4616930 5540316 6925395 8310474 9233860 11542325 13850790 16620948 20776185 23084650 27701580 33703589 34626975 41552370 46169300 67407178 69253950 83104740 101110767 103880925 134814356 138507900 168517945 202221534 207761850 303332301 337035890 404443068 415523700 505553835 606664602 674071780 842589725 1011107670 1213329204 1516661505 1685179450 2022215340 2527769175 3033323010 3370358900 5055538350 6066646020 7583307525 10111076700 15166615050 30333230100